How to Find GCF of 8924/391, 9006/8095?

GCF of 8924/391, 9006/8095

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8924/391, 9006/8095 i.e 2/3165145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8924/391, 9006/8095.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8924/391,9006/8095?

Given fractions are 8924/391,9006/8095

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8924/391,9006/8095, numerators are 8924,9006

Denominators are 391,8095

The GCF of 8924,9006 is 2 .

LCM of 391,8095 is 3165145.

The greatest common factor of 8924/391,9006/8095 = [GCF of 8924,9006]/[LCM of 391,8095]= 2/3165145

Therefore, the GCF of 8924/391,9006/8095 is 2/3165145.

Greatest Common Factor of 8924,9006

To find the highest common factor of 8924,9006, we have to find the factors of both numbers and list the highest common factor.

The factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924

The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006

The HCF of 8924,9006 is 2.

Lets's calculate GCF of 8924,9006

Greatest Common Factor (GCF) of 8924,9006 By Common Division

2	8924, 9006
	4462, 4503

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8924,9006 By Matching Biggest Common Factor Method

Now, list down the factors of 8924

1,2,4,23,46,92,97,194,388,2231,4462,8924

Now, list down the factors of 9006

1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006

Greatest Common Factor

We found the factors 8924,9006 . The biggest common factor number is the GCF number.
So the greatest common factor 8924,9006 is 2.

Lets's calculate LCM of 391,8095

Lowest Common Multiple of 391,8095 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3165145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3165145

Therefore, the GCF of Fractions 8924/391,9006/8095 is 2/3165145

Least Common Multiple of 391,8095 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 391,8095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,8095) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(391,8095) x common factors =1 x 1 = 1

LCM(391,8095) = ( 391 × 8095 ) / 1

LCM(391,8095) = 3165145 / 1

LCM(391,8095) = 3165145

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8924/391, 9006/8095

1. What is the HCF of 8924,9006?

The HCF of 8924,9006 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8924/391, 9006/8095?

Answer: GCF of Numerators as per given numbers 8924/391, 9006/8095 is

GCF of Numerators i.e. for 8924,9006 is 2

LCM of denominators i.e. for 391,8095 is 3165145.

Thus, GCF of Fractions is 2/3165145.Finally, GCF of Fractions for 8924/391, 9006/8095 is 2/3165145.